Understanding Picard Iteration: What Does ${f}^{n}x \subseteq {f}^{n+1}x$ Mean?

[ozkan12]

İn some articles...I see something... Let ${x}_{n}=T{x}^{n-1}$ be a Picard Operator...Then ${f}^{n}x \subseteq {f}^{n+1}x$...What is the meaning of this ? Can you help me ?

 

[Ackbach]

You need to give just a bit more context, please. So far, $T$ is the Picard operator; Picard operators act on functions, so the $x_n$ are functions. But I have no idea what the $f^n$ symbols mean.

 

[ozkan12]

http://www.advancesindifferenceequations.com/content/pdf/1687-1847-2012-83.pdf

Dear Ackbach

İn this link, İf you look page 5 you can see this...Best wishes :)